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16002290209824 = 2532409135852097
BaseRepresentation
bin1110100011011101001011…
…0100101101010000100000
32002122210201010012111222200
43220313102310231100200
54044140142243203244
654011203423133200
73241061445333162
oct350672264552040
962583633174880
1016002290209824
11510a59570aa66
121965426744200
138c1017b13259
143d472d15c932
151cb3c9eb6669
hexe8dd2d2d420

16002290209824 has 72 divisors (see below), whose sum is σ = 45617775987420. Its totient is φ = 5321054896128.

The previous prime is 16002290209781. The next prime is 16002290209837. The reversal of 16002290209824 is 42890209220061.

It can be written as a sum of positive squares in 2 ways, for example, as 11019876944400 + 4982413265424 = 3319620^2 + 2232132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×160022902098242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16002290209824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67808257 + ... + 68043840.

Almost surely, 216002290209824 is an apocalyptic number.

It is an amenable number.

16002290209824 is an abundant number, since it is smaller than the sum of its proper divisors (29615485777596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16002290209824 is a wasteful number, since it uses less digits than its factorization.

16002290209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135852522 (or 135852511 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 16002290209824 its reverse (42890209220061), we get a palindrome (58892499429885).

The spelling of 16002290209824 in words is "sixteen trillion, two billion, two hundred ninety million, two hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 29448 39264 58896 117792 135852097 271704194 407556291 543408388 815112582 1086816776 1222668873 1630225164 2173633552 2445337746 3260450328 4347267104 4890675492 6520900656 9781350984 13041801312 19562701968 39125403936 55563507673 111127015346 166690523019 222254030692 333381046038 444508061384 500071569057 666762092076 889016122768 1000143138114 1333524184152 1778032245536 2000286276228 2667048368304 4000572552456 5334096736608 8001145104912 16002290209824